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Finding the Third Proportional to 1,381,704 and 3,257,015

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Solution

The third proportional to 1,381,704 and 3,257,015 is: 7,677,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,704 : 3,257,015 = 3,257,015 : x
  2. Step 2: Convert to fraction form
    1,381,704/3,257,015 = 3,257,015/x
  3. Step 3: Cross multiply
    1,381,704x = 3,257,015 × 3,257,015
  4. Step 4: Simplify right side
    1,381,704x = 10,608,146,710,225
  5. Step 5: Solve for x
    x = 10,608,146,710,225/1,381,704
  6. Step 6: Final answer
    x = 7,677,582.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.